{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(r\"boston_housing.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 14 columns):\n",
      "CRIM       506 non-null float64\n",
      "ZN         506 non-null int64\n",
      "INDUS      506 non-null float64\n",
      "CHAS       506 non-null int64\n",
      "NOX        506 non-null float64\n",
      "RM         506 non-null float64\n",
      "AGE        506 non-null float64\n",
      "DIS        506 non-null float64\n",
      "RAD        506 non-null int64\n",
      "TAX        506 non-null int64\n",
      "PTRATIO    506 non-null int64\n",
      "B          506 non-null float64\n",
      "LSTAT      506 non-null float64\n",
      "MEDV       506 non-null float64\n",
      "dtypes: float64(9), int64(5)\n",
      "memory usage: 55.5 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(506, 14)\n"
     ]
    }
   ],
   "source": [
    "print(df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX',\n",
      "       'PTRATIO', 'B', 'LSTAT', 'MEDV'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.347826</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.083004</td>\n",
       "      <td>356.674032</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.310593</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.280574</td>\n",
       "      <td>91.294864</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>375.377500</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>391.440000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>396.225000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>396.900000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.347826   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.310593    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.000000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO           B  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.083004  356.674032   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.280574   91.294864   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.000000    0.320000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.000000  375.377500   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.000000  391.440000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.000000  396.225000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000  396.900000   \n",
       "\n",
       "            LSTAT        MEDV  \n",
       "count  506.000000  506.000000  \n",
       "mean    12.653063   22.532806  \n",
       "std      7.141062    9.197104  \n",
       "min      1.730000    5.000000  \n",
       "25%      6.950000   17.025000  \n",
       "50%     11.360000   21.200000  \n",
       "75%     16.955000   25.000000  \n",
       "max     37.970000   50.000000  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"MEDV\"], bins = 30, kde = True)\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x000001800903F390>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x0000018009065F28>]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "features = [\"MEDV\",\"CRIM\"]\n",
    "df[features].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1800914cba8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, sharey=True, figsize=(6,4))\n",
    "sns.boxplot(data=df[\"MEDV\"],ax=axes[0])\n",
    "sns.violinplot(data=df[\"MEDV\"],ax=axes[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"CRIM\"], bins = 30, kde = True)\n",
    "plt.xlabel(\"Crime Rate\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"ZN\"], bins = 30, kde = True)\n",
    "plt.xlabel(\"ZN\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    471\n",
       "1     35\n",
       "Name: CHAS, dtype: int64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"CHAS\"].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Number of occurrences')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"CHAS\"],order = [0,1])\n",
    "plt.xlabel(\"Charles River\")\n",
    "plt.ylabel(\"Number of occurrences\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"NOX\"], bins = 30, kde = True)\n",
    "plt.xlabel(\"NOX\", fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessbility to radial highways\",fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "两两特征之间的相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x18069dc0390>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cols = df.columns\n",
    "#表示特征的相关性\n",
    "data_corr = df.corr()\n",
    "sns.heatmap(data_corr,annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_corr=data_corr.abs()\n",
    "plt.subplots(figsize=(13,9))\n",
    "\n",
    "sns.heatmap(data_corr,mask=data_corr<0.5, cbar=False, annot=True)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.76\n",
      "AGE and DIS = 0.75\n",
      "LSTAT and MEDV = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.70\n",
      "NOX and TAX = 0.67\n",
      "ZN and DIS = 0.66\n",
      "INDUS and AGE = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "RM and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "INDUS and LSTAT = 0.60\n",
      "AGE and LSTAT = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "NOX and LSTAT = 0.59\n",
      "CRIM and TAX = 0.58\n",
      "ZN and AGE = 0.57\n",
      "TAX and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "AGE and TAX = 0.51\n",
      "PTRATIO and MEDV = 0.51\n"
     ]
    }
   ],
   "source": [
    "threshold = 0.5\n",
    "corr_list = []\n",
    "size=data_corr.shape[0]\n",
    "\n",
    "for i in range(0, size):\n",
    "    for j in range(i+1,size):\n",
    "        if(data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] > -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j])\n",
    "            \n",
    "s_corr_list = sorted(corr_list, key=lambda x: -abs(x[0]) )\n",
    "\n",
    "for v,i,j in s_corr_list:\n",
    "    print(\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1800a77ca90>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"],df[\"MEDV\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x1800a58c8d0>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=\"RM\",y=\"MEDV\",\n",
    "             data=df, kind=\"scatter\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7nmhmP229mWFx4bWeHwLdkq6tJkj6GHBa9bgyqfNG4KZ56rqJsmPScbjwWoyVZ11cBlxUeZ3yPPA1Zs8b/C6wUtJvzlHXI2b2o9iMDYjPTnGC4Hc8JwguPCcILjwnCC48JwguPCcILjwnCC48Jwj/DyKxgefbqatrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wKvlDlBjblplhX6Ofrbsb6NfTQ1iV3PPql8b18ycPY3DfPAojYeB2BXdeuemHeF0OnA6BU1FwCFAUxZb40cv89upGHnp7Gxsq63juupNxKoKbV3xmkPKBS4bTt6fHILxO1GOLc+jTs01zRCqQ8FKbLYQYYXcDKeUntk/Uprb/Br7USRfB39EqRt0T+felVsZwyLBLjq6uD7Chsq7VRsSqKvm+rplfP3/wg144tZzfTTyBUBhUKQmFpRFJ7HU7eH7WKfTKdROWkl37m/nfrXuQEpN+p5ehsKv6pC9te+ulttw3aLF1R+R7DR0RtKX+5hWf8cy1J8fl4SbTc5FMtEa8I4H7sQ8SOKOFa08FpgH/F6kKCvAbNMKtEEJcA3wDXNyuESeA1pKjo+UMq2W4pjHArBhd7qG3t/Lz0wfx82cPJjgvmlbOccW51DUGCakq06JI9sy1J/Pul7t49roxqFKiCME7m75nUnkp1z25rsWqSxLBy59WsWT6STgUYRvbB1pBn2hjpKsGCfxbStkSuWwhpXwf+6n2zETumShaSo6Gg3KGnVuoMNsVd/2k8lKDdPr9Zj21nmUzx7BzXxPPfbTTtN9yOwXl/XtxxeKD1uyjU8vp4XG0GrBZlOPmghElzFj6MVW1Pt6//XTLfaZTEUYwgb4F8LgUquv9na6ZzGERJGBX76TOFzTpUTWNAR54c0vcBv3uC4bGXR8bHQK6EKzSK9cdV6V90dRy/vL2VhNRr39aI6punETPti6nglMR+AIaYY4rzuXZa09mT70fJVJAJ7YKvBCY7j9n5UaWzxzDpS1IN+lCawLy7dEvhBAuIcSIzi6BxMJK/Fw0rZwTS3qaFH69rH+0OHzV2P44BHHXF+a4LUXisCrxup1xpStmPb2eSeWlpvOran2EVcnCqeXkehRTVfWLFqxhy656bnx2Axcu+IDKOh8el4PivCwEgve27GbJ9JN459bTWDL9JN7bspvYVbWq1oc/Kgw/kRySVKG1Ge8iIcS3UsovhBA9gbVAGCgUQvxaSvlc6od46GhrTqhdWf8Vs05hUGTGCUVi3t7bspuFU8tNIvG9k4axct03XH7yMZazYazKX1LgxaEI3E5Bk1/G7UPnrNT2oQtXb6emwW8YJh/955lMGH6ksfTqAnVsiL7+RYgdR6L+1Y4Mi/qRlHJ25PcZwFYp5c+EEH2BV4EuQTwwi592b6CMuKOioYcWHfAH2V7dyDFF2Xxb52Pc4D4s/2gnT149mn2NAWoaAzyxZge/PPM43A5rrS86hk7f4724vorl66tMFmn0s/O9LmaPH2hIJ6AlE6367FvD2AirkpXrvuHKsf1ZMv0kQ9srKfTywVZzrZNE/avJDotqjXjRc/JPgOcBpJS7Eq0EmU6oqmRvo58mf5gdezVdrLrBb7yBbqeDs8p6M6m81NjjvbC+EpdT4fu6Zua+9Lnxpj91zWg++rqOHx3Xm749PRTluJlxan/65WexrzHI/MnDTDmxj04ZSWGOk+UzxxBSJUIIXvqkivvf2gZgK0zX+YL0zssyHXc5BOfFzHgLpozE5RCmMT5wyXDOHtqPv36w00SWRPyrdvvfRAXq1gTkd9HklG+Bd4EhEdI5gc+llEPa/cQEkCwB2a7QYXWDnxdvOJUCryvOx7pwajklBR5uW7nRRMiyfnns2t8cJ+IeWZDNJYvWxlUSOL5fHr3zPOw60GwZN/e368eaZB/dKp332hbmXzyc6UsOxuZ9cPvphsEQfY/lM8eYhGv9mNvpOOTlcfd+H1/XNHFrlJZ5/8XDOaYouyWBOuF4vFnAjcASNJfXrsjxM4FX2jv4dKKlvhH6vqfWF4yLo5v99Hqa/OE4o0MRwrT86SKuHhK1obKOWU+t59LHPmTG0o8NuaR3blaEzAcNlYVTtZ4V0WFNf7thLIP75vHwFSPIyVJMZWBDqvWWIGSxnwtLkhKxokoM0un3vvX5z0i0lVqLS62UcisWubVSyteFEFZdejotWit0qM8Kdh9orNFh9+HrS+bYAUVcN24ADkWgSmj0h6hpDFCU46Yo18VzUUKy04F9VfgcLfo3ugys02ZZjjUktOiV5KQ3Bm1yTYJqx1d9vwX48yFcn1LEGhB2hQ6bAmGTjmcZAKAI7r94uOEN2FBZh8OmCrpLETx73cnUNQXjrE6BpM4XYM8BP/sag4YRUJjjwutyEAxjuSQWeF3cdOZxxmz8l8uGsXTGSVTu85mCBECajJfFV46i0OtOioDsVKzfP6eSGLETLtojhKiUUpa2fuaho717PKv93JNXj8YfUk3HFk0tpzDXhUNR6JWjFb6Ji6ObWs6qT6tY9L9fm/aFD15+IpX7fHEi7pB+uTQHVH738hdxRspd559AWJWEYoIMHrliBE6HYrjvdNIMKs6l1hfEFwzxXV0zMjJDlhZ6qWkMcn3MOL0uBW+kc7Kek5GsUKnd+318tbcxrojQgF4tBiEkv7OPEOIbKWVy45Vs0F7i2SWm/P3GUwmrWPaNWHzlKIpy3dz54v/FEWZSeampJp2eZP3HVzbFnVsxcSghKfl6b1McKY8pyubz7w5QlOOmMMfNwtXbWbFe88HOfelzk0EigV65bqYv+dh0j/te38JDl4+gYlU8sX97/gm4FGEQIcEEHUvsrGnkV8s+jQtMffCyEzmqKMfussSiU4QQ9ViHugsgbbE2rcFur+YLhOnX00tVbZMR3aG3A2j0h8jzOKmuD5iCLwGuH3+s6T5HFWbjC4b45Y+PY88BLWLE7VC449zjCaoSaSNEL585xuRLfeSKkWzbo8XUFedmxVWInz95GMW5mpQSHdigCCwbJytCawvQ2vuQiIDsciiWganOBEtktHiVlDJPStnD4idPStlp/bx2iSkup8KuA82GYaC3A6hYtYnJC9dy2WMfcts5g019YUsKtMI60a//Xd3An97YSliVPPfRTup8QfI8TpwRMTdkuxGXpuy0R97dxrzJwyjKzWL+xcPjyDpnpWZ1R98j3+tCtSG2lJjqvAibQj6JaLDZboVHp4w0WeOPThlJtjsx4nVa8rQHsYZEgdfFk1ePZmdNk7H5Proom4bmEFc+/hFzJ5RRUqC1A4htGrLkgx3cdOYgZiz92NCqAmHNctPf7AZ/iCtPOYaH39kWN/M8d90Yo3JTa9Ej+r3Pe+h9Vs4+xdbqjr5HSYEX1cbDcqA50n86svI5bIIJEqkg5Q+quJwiLpzfn2AZtC5PPDtXTpZTMan4i6aV8+BbWynOzaJfTw/PXHsyDkXQp8exRukH/YMZUJzNu7eeRjgyg+RmOXjn1tPYWdPEU2t3cu4P+tG/OIff/LQMRYEnrx5NWJUsfu8rKlZ9we8nDuWBS4bHicsgTbPUrc9/xpNXa/0E9XTGWLLKqN8XTSunX0+vrfW9a38zvXJ7GsfCEstuPHdfMLTd73NYwrVPxCc5JRpo2uWJZ1dEp2LiUONYcW4WTf4wf7jwB1Qf8BtBnVb7qCfW7DBJF7r1++DbW6muD1juw+a9pnk/FkwZydNrd+JQBD2zXabKTT2zXdQ0mKNCqmp9BrEckRJpsVZjv54els8cQ50vSK+IFGJV42X+5GH06eExucOS2Y2nJT92IujyxLPbQOtJ0yNK87nrgjIE0NAciosk1iNA9E3zpPLSOO/FrKfXM3dCGRC/t4q+/oZnPmHpjNEEw5Krl66Lmx3uu3i4aZwlBV5jk60IwT2vbo4rkfbb88u49LEPDWsUoor73DCW5qCKQ4DX7SDfa9boAmFpdOPR7/nwO9sSmvHs/NiJJnR3eeLZBXk2BTTLbfb4gdQ2apn/wbD1tzZ6H2UX4HlscS4HmoMtXl9V68Pl0Dp5W53Xp4c5OmX+5GHsjcyCTYGwpdXY0+virLLe3PyTwabZTFFESw2KAW2WsurGc9f57Z+lYkVs3dWXaNX5zlkush2wy3A/uiibkgIv+V4X2W4H2W6HsTeKRjRJSwq89OnhsTynusFPz4h7LfZvdZG6KSUFXlwOBSGwtqodChUTh2qyysSh9MrLwu0UrJx9CmX98lg0zezDvXfSMO559UvuvmBoQqJvMstO2Pmxo2vGtAddnnh2NUOOKcrhxRtOpTSyQW8KhHlhfWVcz9WFU8sZ0i/PuDbbrViWjpBS8zbEOvjnTx7GwtXbjf1TlkMYoemxJPIHw4aFHAirzH9tM9luJ3985UtUoDDHZZJb9O49Usb3wWgL9Fzg2P9vIrNUsov2dPs+F3VNfvbU+/EFwjQFwiz5YAeTyks1Z32Om2Uf7eSacQONZauqtolfPLshTqG//5LhbNvTwJC+uQRCErdTIaxK6puDNAdVk/dAgKXLbM7ZQ/jJA++Zxrdy9im4HAKnQ2HPAb9hietI1NMAmufiP1/cGDeORGLokl2mrMvv8VpDoz/M1UvXUZybxd0XlPG7iUMJq5JwpID2R1/XMeUUlW9rm8jJcmjHY/ZaZ5X1JqxqDnh9n6hbq0fke1CEoM4XpLo+gColWQ7F0rOgz3Y6Sgo0acTtUHjuo53MOLU/j04ZyfVRVuihFMYJhMI2e7z2z1Kt9eltL1JGPCHE48AEYI+UcmjkWCGwHDgGrd7eJVLK2mQ+N1ZMDkdkgLEDivC4HHwd4+h+4JLh7N7fzMWL1vLWLacx77UvTaLrWWW9ufEMTVCeP3kYgEkf1I9VrNpkVFkXwrqb9dwJJ5iMi4VTy5n7P5/z+4kncNXY/sxZuZHi3CwqJg7lqKJsvE6Fvj29LVYZaCnqJJmWaLJ7maVsqRVCjAMagCejiDcP2CelvEcIcQdQIKW8vaX7QNuX2mgxuTg3i5vOHMRxfXL53ctfcMe5x7OzpslyKXv6mpPZsruesn55/GjeasN/e1zvXEKqZP7rm5lUXkpZvx5cvjg+8vepq0dz+v3/NCSTAb1y2F4d3w4qJ8tJbpaT+mbNL1zfHGTiI2t465bTTBHG+n1XzDqFI/LjXeJtzX+wqloVW700xej4llJSyveAfTGHJwJPRH5/AvhZMp+pi8ljBxRx/yXDyfM42bG3kd+eX0YwrFJa6LXcIO8+0EzFqk3s94W4e8IQ5k0exqDeubidiuGQr1i1Cb/NBjsc+fJq0oqTQFjF43KwZPpJvHzjqUbLT1+kvGxOlpOQqvLelmqWTD9Jy5WYUGbyEbckzra19VWyLdFkoqP3eCktUaaqKvMnDyPP4zLVKFk64ySCYcl3dc2Wml/vvCyjpOx/nldmRK6s/Y/T8bgcxrKpF1y0clWBthd0OhS2Rao4VTX5KMhxsXD1dqob/EaJMZC8sK6SC04sMXlR9LCnDZV1RlCDFdpqYaa6a/ehoNMaF+0tU6ZlkAVoDqrMWWn+llfu8xnxbrFO8/mTh3HLis+obvAboUW6Cy0UBiGkYSgU52ZZ+mD/6x+bKSnwcvcFJ5iWc/3+v/np8QTCKve9voWSAi/bqxsZeUxRnBdFD3t6YX0ld5x7PP6gVvsudi9lJ5rH7t3ael460NE63u5IaTIi/+6xO1FK+ZiUcpSUclRxcXGrN65p1OLost2OuG+5Hu82e/xAenicLJl+Ev+cM56KiUOZ95o2w+gfvD8k+fXZWmhUWJWoUhikmz1+IB6Xg6UzRvPenPHcd/FwQqrkjnOHMHdCGYGQtOy42Lenx8hmu3eSpvvZeUjK+uXx89MHceXjH/Ejm07ebS0Lm+qu3YeCjp7xUlaiTFVV5k4oo3dM4xHQ/KC3nTPYtNl/6prRzFj6sekeVbU+6puDxsyzt8FPrsdpGaS5cGo590a1eAJ465Zxto70By49kR17Gw0CWo1TI4iIKwYUW0atrRZmqrt2HwpSKac8B4wHekWqx99FikqU6ctsxapNFOdmMX/yMFZv3s3kUUfhiDQ3eXLNDlOH7LCKZaOUPfV+w//62Hvb+e35J3DTmYPiggNmP72eiolDTeTd2xCwlC88bge9crLIyXLy8BUjjJhBqwiTvQ3+Nu3LklkWNh1IGfGklJfb/CnpJcr0ZVYPbaqsaWTCiSVxWV4XlpcYMWUlBVqCDGDkXehBnrN+dAwlBV7uPK8Mh4CjirINMuhSS77XxRH5XoO8JQVe+uV7LB3phZGokVii6LORLxhi+55G5r22hbFIIqAAAAxOSURBVNnjByZtX9ZJu3YD3cRlFl36dURpPg9dPsJSb1s6YzQ//tM/Tcf0khLBsOSxf26nINvJFWOOobreT01jgOP75fFdpBqo1ZL7yBUjUQR8t7+Znl6XUTU0+hktFV0E+GZfI+PmrTbGH/sMO7K0JiInM9mnLc+zQPd2mUVbb7eedZxtg5PY96iq1sf3+5uZvHAtJQVeHr5iBA4hTO2iHp1aTn62k/mTh9EcVOM8Eo+8u83IQls+c4zlc1vrku2MCpXfUFnHfa9voWLiUAYW5+B1Oy0/4LbMZsmUU5I9e3b56BQwW299I8WxrcKBYsst6L5S0D6Q2sag4SfVj13/9HrqmrRchsF9cy3r5x3RU5vN7Lpwtxbw63SYI2KqG/x4XIpRD8/qg22LiJzMsKi2itZtRbcgnqIIBhXn8tx1Y/C4HKxc9w0LYjOippaTk6WwZPpJjCjNNwTbhau3G/exkmL0AM45KzfS6A9bZnd5XNoHPLB3Tlwm1oIpI8nJcrTY1bs5dLBBsx4SNe+1LTS3MDO1ZTZLppySbDG6Wyy1oLmHLl/8IX+9spxLRx+NKqVW6FqVuBwCRYHmgMqxvXN5dOoIQio8tWaHSQ7RZ6zYPdHuA37mTijD6RCWb77bqbB85hhcDoU/vLMpLtT8Dz/7QYvLlNb3wkyG4jw3jhbSENsiDidTTkm2GN1tiBcIhSnOzWK/L8Stz69n7IAiZp42EJdDIIGl7+8wylDoLTzPP7EEwDheUuBh0bRyUymJR6eM5LcvfcGGyjojQjj2zd+8q56KVZt4+pqTLcOQ7pygtlhbLifLYZmUk5Nl/6G2NUwpWbJLssOiuoVVC5oF9/m3+5n70ueMHVDE1FOOjvsgn167kxXrqygp8LJk+knMWPoxz1x7Mg1+rcnwwtXbeejyE9n0fb1BkN55bn7xnNas2MrijPavLps5xtKqXTHrFHbsbYy7Tm9+sqe+mYsizZijr2vNGtabMYfCKk6HQu/crJRGnSTTqu0WezzQvpH9e+Vom95xAwzSwcF+sdeNG2C8dijaslld7yfb5aBi1SY2VNYRUqVhPMx6aj3NQdXY+G+orOOJNTt48urR/HPOeCM8XV+upZSWYfMOYZ35H45854Mhm8oDIXtrWFUl26obuGTRWsbNX80li9ayrbrBtHdMNpLZHbLbLLWKIsh2a/sQnVTR0MkGB2vJ6VZtttvBspljCKuSbLfCM9eebOh4Pbwu7nzxc9MyeeuKz3jgshONqgA6XA6FP77yZVyK4oOXnWjrSgNsS6jZRaeAvZWZrI7cqUa3IR6AQ4EFU0aiSiw/SJ1sC6aMZOW6b4yWTnedfwKqlHidCrv2+02h5wunllOc545LO9xbryVwRy/netsnq8I2LRHLaZPM7WxhRunMIU9tQbdZagF8QZWH39lGWA3zaEx2lSYEu1g2cwzZbgcjjyniiTU7mHFqfxQFvqtrJiRlnI43++n13HHu8XGZWsGwaiRL6xLIsx9+HZeiuPjKUbaZazqxfAFrOcUXsCdRsjtmdzS61YwXVrUE5knlpbyw3txC8y9vb2VSeSkLV29n9viBFOW4mXP2EG5buZE/X3YiihC2Cd/1zSGWTD+JfY0B6nxBvC6FRr+wtGCv/uGAOPni+/0+XvzE3B5g8XtfcetZx1Fd7ycsJTedOcjozgitkyjZVmZHo1sRT68NnO91WZJi5riBbKiso2LVJu6dNIzbVm6kusFPbWOAfvkepM0SnedxcuuKz4zI4GUzx9hqfoqixO2xvG4HF48yBy0smjqSmsYAM6OkGz2oVG+B0BKJOnPIU1vQbeQUgNqmZr6r89vmpy6fOYZAWCWsgi8QYm9DgMIcrR1Anx4efMEwB3xB015r4dRyXo4pRXtscY7R+yI6dD26fGw0GfY2+LnoUbNcsmzmGB5//6u4EKq7zz8BVxcjUQtIfinajkRbiKeqkq9rGqlvDtK7h4e99WYj4f6Lh1Na6KVyny+uV0Oux0m228F+XxBXJLF6QHEOgZDKynXfMPKYIsuEaKu6fFY1h/OznZzy/8yNk9+7bbxlDeUBxTn0S19j42Sj++t4NY0BdtY08fNnN9AcCPOXmI3/f7//Fapq3auhh8eFSxHc+OwGmvxhBhbn4FIE81/fzBnH9zUFBfzyx8cZS2CsrlXrC1pKHKoaX0tFICy1vVTqcJ0J3WaPFwiFDSf/rgPNzDi1f5w8Ed1WU0dVrc8wGKpqffTp6aEk30t1fTO/OGMQqpSmOndZLWhrdhKHKomTS+yqeh4mvOs+xHM7HcaGf95rW7jrgjITYXrlZdmmN+6t9+OKNL7zuhyRZicKjYGwpQvMTqS1c6RnuRT65HlM47HrXZaVpIYonR3d5n9ZlOPm6KJs5k8eRnWDn9/9fROgtVNyOQSvbfyePj2zWGRR7alXrpsn135tsiSLctz07eFpl0hrF4ZU4HGhxhTPV6Vk8bT4c3vldH6vQzLQbYwL0AyMOl8AXyBMWEoEgopVXxg5EYumlvPxjr0c26cH/Xp6yXIquJ1KpAyYEmdJ2jnvW3JLWTnSW2qcJ4ToknJIG9G9Q991KIqgMCfLqHquqpK7LxjKzHG+SD/ZrzmzrA8elwOv20HfHp4WP+heOVntFmmtwpDsQvGbg+GWmpN0a3Qr4sVCUQR9e3jY7wvyq+VaaNOar2pYfOWoVkmnX58Mkdau9EWizUm6A9Ky1AohzgEeBBzAX6WU97R0/qH2q01mS/NE0AmqNqULnUdAFkI4gK1oHb+rgI+By6WUm+yuSUaj5HSjo4M2Owk61R5vNPBvKeVXAEKIZWjly2yJ1x3gdCqWte4OV6TjK3ckUBn1uipyzAQhxEwhxDohxLrq6uoOG1wGHYN0zHhW02/cei+lfAx4DEAIUS2E2JnqgbWAXsDeND4/UaR73K9JKeM6vEN6iFcFRDdYLgG+a+kCKWXrdcpSCCHEOinlqHSOIRF05nGnY6n9GBgkhOgvhHADl6GVL8vgMEKHz3hSypAQ4kbgdTQ55XEp5RcdPY4M0ou0CMhSyn8A/0jHsxPEY+keQILotOPuEr7aDLofur2CmUHnRIZ4GaQFhzXxhBDnCCG2CCH+Hek0FPv36REN8dPIz7VRf7tKCLEt8nNVJxv3A1Fj3iqEqIv6Wzjqb+lTE6SUh+UPmkW9HRgAuIHPgLKYc6YDD1tcWwh8Ffm3IPJ7QWcZd8z5v0BTDvTXDel+76WUh/WMZ/iMpZQBQPcZtwVnA29KKfdJrQngm4ClQp8CtHfclwPPdcjI2oHDmXht8hkDk4QQG4UQK4UQuselrdemAm1+thDiaKA/8E7UYU/EB/6hECKpveTag8OZeG3xGb8MHCOlHAa8xcEGgG3yN6cI7Xn2ZcBKKWV0kshRUnOjXQH8WQgxMNkDbAsOZ+K16jOWUtZIKf2Rl4uB8rZem0K059mXEbPMSim/i/z7FbAaGJH8IbYB6d5kpusHzWvzFdpSpG/ST4g5p1/U7xcCH0Z+LwR2oBkWBZHfCzvLuCPnDUZrRi2ijhUAWZHfewHbaMEwSeVPt865aAnSxmcshPg9sE5K+XfgJiHEBUAIrffu9Mi1+4QQFWgBDwC/l1LG9uZN57hBMyqWyQjLIjgeWCSEUNFWu3tkC5HfqUTGZZZBWnA47/EySCMyxMsgLcgQL4O0IEO8DNKCDPEySAsyxEsRhBBSCHF/1OtfCyHujno9UwixOfLzkRDih5HjDiHEeiHEuKhz3xBCJKWbeWdBhnipgx+4SAjRK/YPQogJwCzgh1LKIcBs4FkhRF+pubduAB4RQriEEJcDUkr5fEcOPtXIEC91CKHlPNxs8bfbgTlSyr0AUspP0PzAP4+8/hewBrgb+C/9eHdChnipxSPAFCFEz5jjJwDrY46tixzX8R/Ar4BnpZT/Tt0Q04MM8VIIKeUB4EngpjacLjBHmYwD9gNDUzC0tCNDvNTjz8A1GOUiAa1AUXnMeSMjxxFC5ADzgDOAYiHETztgnB2KDPFSjEjwwAo08umYB9wrhCgCEEKciBaAsCDy998CK6SUm9EMjQeEEPaNa7sgDtvolA7G/cCN+gsp5d+FEEcCa4QQEqgHpkopvxdClKGFYA2PnPupEOJ1NIPkdx0/9NQgE52SQVqQWWozSAsyxMsgLcgQL4O0IEO8DNKCDPEySAsyxMsgLcgQL4O04P8DZv+caYj2JpQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V4zK2fsyEQCjKsleTpz4ve3UXgZDhrJh24t8P91t69DWeqiCXVQwybff/geGFmxiDkcqsBf4NeHHwlpUfokrh97qSWj/6vS70AskzmmYz9VkMU8C0E+97fjs//eqZ8SJA014c7vfGS0qcFjwDhy0LSkTeUEqdk/B4nVLqX2J/v6qUmliiNdrCZEHt6wpwx9Nb0trs3PGVMwqqeberoX/0unMJRvSkXlC6rhNVZKXv+dxanMV/LAbkLVAUFlR94gNTQGMYke+KBhM+j3DD5NOSCMk3TD4NX4FNdO1q6A8Hwsx5dBP7Dwfo6A3RWOtlxHF+PlXvj7OgOmPnpAbfP+roK0tA3iqlerSlWTNt99tE5MtKqd8mHhSRqRjcz4pBf0jn5y+8n1zj9ML7/OjSzxXkZdvFJtu6g+zpDBCM6Lx/oCfJ4zdhF3wfkjLysRQBebuU6tGm1TNp0puAn4nIMhG5IfbzCPCz2HMVA7Nh2bwVm/naQ68zb8VmntvaVnATXavykoXTx7FkwweMbPCzo62H25/awoFP+ukKJGtDu/RoXyiadixTQL4Y2s4upVourV4oMoWgdorIOGAG8DmMLNPLGIz6G4HrS7LCHFDsJrqaJoxuquOJOa2EozofdfTFJ4+YU0jsYqJ2wfc6n4tl156TFHe1C8gXi1RSSVp9IMjIJ40xn34tImcDV2F0Z94FrC3B2nKG162xaMZ4FiTwPxfNGI93AGMWOwNhrnr4dZrqfMyfdCr3ff0stv+9O2kKiVVM1Cr4bjpTiXHXh6+xygobyDbqPFfYmS35avVyI1Oc9DQR+aGIvAf8HNiNEQ34olLqwZKtMAf0haK8vK2NlXNa2XDzJFbOaeXlbW3xuGYhMLXQW7u7mLdiMwe7g9z5zNa4gEIsJmpxI6SWlNg5U3ZbbLFIJXZVsf/QOCTtWCWnWTM6TsAfgUuVUjshPhO04uB3a7Se2sjVDx8pHymEYJJ0Te+R7bkrEMbjsp5E4nVLWkw0dUvOV+iKRSqxS6kCR1WaNZOQTseY+fmSiDyLMbqmIj9JRCkbgon1KPFs0HXFgU+CSdvz4hnjWf/m3qQIwvo39zLsgpPjbXYuHtvMD748FpcmSf98selVJWIt4MUkldilVI+mNGsmx2k9sF5EaoHLMTz6ESKyGFivlHpuIG8sIi4MospepdRUETmFAqc0h6M2I3IKTKJb2YTffvxN7rzsDGY/8kb8vGXXnhMX0LNH1fONC07h6l/+KS5YS2e1MKZ5KC6BhdPHpWWwlFLxJr2pztHRTiopZlFi1v1QKdWrlHpcKTUVY1LdX8ijJikDbsQoZTZR8JRmuw4mmb6UTCEeu+35lONrk2y5U46vjZ83f9KpcSE0z5+3YjP7DgfwuDWWb0zmAizfuIv3D/TY2qlHc6m0GZ2YtuhVJi58iWmLXmX7ge6CkwZ5VYsqpQ4BS2M/BUNERgJfBu4C/oeICAOY0mwSTFLtRTuCSbYQj51NOMTnStJuCpW1LqqtO0iN18VNF41Jer+lM1tYvvFDls5qSaomKFcoKLHCIDHNW4gGLFZ0wkS5Gpb9J3ALMDT2uJEBTGnW8ySYZPsS7WzC42t9aex88zyzLipVsDt6Q5x4XE3a9u1xwbTxJ6XdWH5v6UNB5k173/Pb04g1xYzPFnoDlpxTFkurtimlNicetjjVdkpzakmzQlj00k5CMZJzKKqz6KWdKBs/LxSJWpZAm1+iGcxfPe98Xr55Eqvnnc/oprq0f1Si7XjWyONYOrMlLUu1dvNuvG5X2vYdiirL4sGBjposBOZNO71lVJrJUkg2qthFieXQpBOBr4jIl4AaYBiGZi14SrMmMHviKZaDaq3g97osS6BNLabrKudGZInec2Otj5XfOo+27iAdvSGWb9zFTReNsfTKwxHraoJwjq2BiumYmJrPzmQJhCK0d5Mz5bDYJS/lGID7r8C/AojIJOD7SqkZIvIbCpzSnNi7KXFQ7X9+/SzL8yO6tRZbt+ACwN4cWD3vfE4YVmMrDG63xsiGIfi9bk48robxnx5nKzwDiYUWuxbfDJHZmSzv/b2bO5/ZGqcqZnvfYkcnKolCfiuGE7UTw0bNeUqzR5P4oFqTYNLeE7R1nLJpMTubal9XIKuXaueVp0YTGvwey2xQLtqm2LX4Zohs7ebdLJw+Ls1kWbLhA/Z0Bviooy/n9y1mdKKsnZ6VUhswGpOhlCp4SvMQn8bimS1pA3CH+KzvQa/bxcVjm9NI0qYWs9NyHb0h/vuqv7Bqbmte2sFO841uqitI2xTbMRFNWL5xF9NbRjGsxs2ya8+hLxSlrsbN91e/HU8F1w+x7+ySLes2EFRFO/L+sLLkk/7Py6x75jf4PXx38mnMTxDqJTNbaIgNEbOyqX761TO5+/fbsvJJrVDskEyxa/Hdmlja9KGInsRVGFrjsXxfBbZJiWKgKoQ0ZNMz/wdTrZ2QzkA4LqBgCM38xzYnCY3PrSWFtHyx4jqTT3rnM1uTKkgzIViA5kt0jDxuDbcm8cG7pqlQLMckEIqyadchVs5pRVcKTYSn3tzDpWedFBfKkQ1+/B7NMnPWG4wM6uDfqhBSl01u3GUzxynbdtnRG0qaKmJe787LzsDr1jLySa0gsdenXg+w3CZzGbxbqKlghSE+jS+c3pxE0Fk0YzzH+dOTF2bmzBTI5Rt3cdsln+XOZ7YmCW4xB/9WkuNUMCRm+Kca/Hb/s2xxPDshHjXcn5VPms/6RLBMHVqZBzeveYf5k06NmwqdgXDRHJO+oM6DsRFDZtr2wRd30BfSk97j+FofN100JqmW7MbJp3H3799LWuuta98pau+BqtCkSsEr2w+w7NpzcGlCVFes2fQxJzeeYnl+tjienc23+1AgLqBnj6rnu5NHA4bXnlmTiaUGumXKZy3t1HwG7xYDItYl3KkbkVVoSdf1NDNrT2dxB/9WhZDWeDWmnjWS2Y+8keTd13itN4pscTxLIZ41AY/bMCua6nxpyYBEZyE10N5U601z1BbPbOGhlz9IWpcpfKk3iXlDNNZ5WTqrJSkSUQwoRVqm6da1MVPG4rtLtDXbu4OD3lCtKkbk7O3s42uxfvkmRjb4WTW3NWlSSD5IFTSXBretfYfpLaM4rbkuqQeU+X7rF0yksdZrGW46tXEI7b0hIrrCrQlDvBqXPrgx7RpmwsC8htUNsWRmC6ePGIp7AKTuROw+1Mt/vWdD2vE/3vJFajyujHbvABILx9i8e92GTzqAPHiqxtjb2RePIKya22rreNmFm1Z+67w0rukvv9HC/q5gPILQUOvBJemaPvEGtIpEDBRuTbPUhnoGvmvi9zTY3NeqcJzMatFEDKRa1AqJzlamTtB29qRZs28+nrdiMz63i9uf2sLXHnqd25/aQjii44lpx8SbpJiBeytoQlovrUUzxnPXb7eWPLtkub6iXq1MaKr1sjiFgbR4ZgtNRSwuSyxqW7Lhg7R/qul42UUOUv+5ezoDdPSEkoTgptVvp2n/wWpznohgNH1ulYClQ2Rml0rZ/aQqtvvDwahlxumuaeNo8hbnI6Zua36vy3K2vZXTtXRWC/f/3/eTrmcnuKksqFI00a3xuNLmVvWGopYmQFTPbgIUG1XjOE1c+FLa86/e+sWCHaeBIBLRaesJEo7qeFwaTbVedh7stRTcRG1lOl9NQ31Jjpvf6yKiq7Qbopjr3XagOyn68MjscwhHFHNW5L7mPHFsOU6V1FfejouamiFq8Hu46aIxbN3fnaYhB3ssTmrkQqF4IGUnuufZbdw9fVxOMdHBLnmpCk1qpQmyhWlyIQ2nasTmOl/WsE97dzC+HZqw0zbm9SNRHXfC9fO5Rr6wugFWzW3lw46+tGD+Z5pqkwYIt3X384P1f01jj/142udptpmGnQGVq0lFZBTwKHACoAMPKaXuF5Hh5Dml2cQnwTBRXU8ihER1nU+CYYa70/+puWiqQgQfcqfRZWL/F5OKZxXvTQ2RBcK6ZTA/dTCG1yV858LR6e2MXINbyVoO7z4CfE8p9VmgFbheRMYygCnNgVCU61e+xexH3uBrD73O7Efe4PqVb9m22cmFNNzWE7RkSrX1BC2vaSJXbzzTGorl0VuVFu/v6qepLvnG7e4PW9Z8pe6yvcFoXEDNNS94/E16g4O73ZdcSJVS+5VSb8b+7saovT8JuAyjlJnY78tzvWZUWc8WtSM55KKpcp1oksq4r69xs3RWcjjMyhvPtAa7Hk6J14hEdPZ1Bfioo5d9XQEiFrVRVjfCvMc2xzgHR+DShFumJBNHbpkyJi2tXKpBFqkoq+MkIicDZwN/YgBTmmt91oV1tRmY+dkcLY9Li+fp5086lXq/h75QlBrPkXNSzYaLxzZzy5TT6QtGWXHduejK6Ph3okVdVKY1ZMvi5GqKZGtyYb62sdabpiFvXvMOv0nZ7ms81mse7EEWZXOcRKQOo9/pXUqpdSLSpZSqT3i+UynVkOkapuPU9kk/P/jfFgb95Z+neVi6QZ+rTfrhoV7au4PJRJJZExhzgnFeqoPzxJzzANJuFqvhYwPx4O16+q+ed37SjAA7B2zdggsQJH4D9IUifOHeDWnv88rNk/h04xGybJGjDpXrOAGIiAejx+njSql1scMFT2mOKt2Saha1uQFzyTdrmjDE68bjCnP71LEs2fABb+3uYs6KI2UfqZrqhGE1OQ8fG0jOO1dTxC4RMNzvpTMQjp9n14TYFWN0mWsqV4+qcnj3glEJ+p5S6mcJT5lTmu8m3ynNeu5UMxOZBnhZaQyzw/Nbu7vitmvqlp2vzVboEDHTFEkVKrcredvN1NA38bOtnX++ZRPiRzfu4vLxo5I0pdWai9kDwArl8O4nArOAC0XkL7GfL2EI50UisgO4KPY4J0RtWFDRAvPKVg7HrWsNZnyi7Zrq4BzsCVl65cW22ZrrfCxJ4SosmdlCc126wOfS0Hfr/m5++/ZeVs5p5cXvfYFl157DY699xNI/fpi1VNoccbll72H2dAbYsvcwH3b0FjWnX47mEP8Pe3ukoCnNdprF4ypMOOwcjs801fHodefGvWyrfP7DsyYkpRLNHlLFhNutcfqIoayed35aIqCQz/bACzv48eVn0PZJP1cseS3puWzx2WwjLouB6kiLemy6MBc4x8nO8/74UB8nHJfsiKVuf/V+b0lsNrdbK2iQmtVna+8JcmJ9Df1hPe/0ciAUtewGU9QhwMW5THnRH0qnmt3z7Hb6Q4VVLNqNyHnghR1Zt79K7ytqF4Ot93s5YVhN3l1VShE7rQ5N6nbF2+yYGAjBxNzGTQZ+VyCcVCVayeNksiGbh56v916K2GlVCOlgcC7NZrrmcFsT5WJXpSJXj9ruPLuoQr4Rh+Nrfba9XIuFqmBBmR7mRx19ScO8cmmBkwmDdd2BIteg+mBT/hLfp4AQVGUH84sNu44jxSxWqyTk2luq2D2o7FBovDdXVIWQFrvLnIlcwiuDHci2Qq6fd7C+l1KjKrx7j1uzDKJ7BliXbhdeMSmAxZ6ykStypfKVooivFKgOIdVg8YzxydWiM8YzUAdTtwmvmDJY7Ga2uSIXKl8+51U6qmK7D0YUulJJzHxdKYKRgWk0l03TBFdsOy/Xdpor0aMahpZBlQhpRFdcv/KtNGF6MgPBJBfYTbIzqyXKWQCYq7My2E5NKVAV270dwWSgtqGmWU+y0zTja6uW7bTSURWatMZGo/kGqNEaa71pk+wShbBattNKR1UE8w/1Btl9KMD1K4/wIX9x9XhGDfcPmIlTjhDTMYKjM5gvIlOA+wEX8EulVE6c0kAoyh1Pv5vU3OCOp9/lwavPHjATpxpsuqMdFSOksdHiv8AgPO8B3hCRp5VSW7O9ttgEEweVhUpynM4Fdiql/habc/8kRplzVjgOTHWjYjQpRu397oTHe4Dzcnmh48BUNypJSHOa1GxVdw+O7VjNqKTtfg8wKuGx5aRmq1HiDqobFROCEhE38D5GMd5e4A3gaqXUuxle0w58lHL4eODgYK2zhKj2z3FQKTUllwtUzHavlIqIyHeAP2CEoH6dSUBjr0lTpSKySSk1YZCWWTI4n+MIKkZIAZRSvwN+V+51OKgsVJJN6sCBJapRSB8q9wKKBPfK6SQAAAKjSURBVOdzxFAxjpMDB3aoRk3qoMrgCKmDikdVCamITBGR7SKyU0Ry7rlfCRCRD0Xkr7Eug5tix4aLyPMisiP2O2NT4XJARH4tIm0isiXhmOW6xcADsf/POyIyPpf3qBohTWBRXQKMBa6KDYw4mvBFpdRZCXHFgoddlBCPAKlBebt1XwKMjv3MBRbn8gZVI6QMgEVVwSh42EWpoJR6BTiUcthu3ZcBjyoDrwP1sa7eGVFNQmrFojqpTGspBAp4TkQ2x0g0kDLsArAcdlGBsFt3Qf+jiso4DRA5sagqGBOVUvtiU1eeF5Ft5V7QIKCg/1E1adKcWFSVCqXUvtjvNmA9hvlywNwO8x12UWbYrbug/1E1CekbwGgROUVEvMDXMYZFVDxEpFZEhpp/AxcDWzgy7ALyHHZRZtit+2ngmpiX3wocNs2CjFBKVc0P8CUMut8HwL+Xez15rPsfgbdjP++aawcaMbzjHbHfw8u9Vou1PwHsB8IYmvKbduvG2O5/Efv//BWYkMt7OGlRBxWPatruHVQpHCF1UPFwhNRBxcMRUgcVD0dIHVQ8HCEtM0RkWsKMVfNHF5Fvi4gSkRsSzn1QRK4t43LLAkdIywyl1HplMJ/OUkqdBSwC/ohRNdsG3BhLThyzcIS0giAipwE/xJhirQPtGMHwb2R6XbXDEdIKgYh4gJXA95VSHyc8dTfwvRhf9piEI6SVgzuBd5VSTyYeVErtAv4MXF2WVVUAqomqd9RCRCYB0wG7cor/BawBXinVmioJjiYtM2L1P8uAa5RS3VbnKKW2AVuBqaVcW6XA0aTlx3wM5vpikSRO8BMp590FvFWqRVUSHBaUg4qHs907qHg4Quqg4uEIqYOKhyOkDioejpA6qHg4Quqg4uEIqYOKx/8HqVPRj7Z/o04AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%config InlineBackend.figure_format=\"png\"\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(df,x_vars=cols[i],y_vars=cols[j])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 402.375x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(\"RM\",\"MEDV\", data=df, hue = \"CHAS\",fit_reg=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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P//79oxUrYei3uUsNGDDgmNsiIm4UjkSwR7nUCK2XIiWR9evXD6/Xw876rpcQO+u9DBw4ICnndVPh5VK7d+8+5raIiBtFImEwbfxqMSq8egqfz0ffPgXsrO960bSrwc+AgYOimCpxqPByqYKCgmNui4i4USgUarPwssb75fOS8Pr07UdlsOslRGXQQ58+faKYKHGo8HKpw6eP0HQSIpIIGhsb2+7xahmn2tjYGOdEEgt5efnsb+ramo2NYahtsuTm5kY5VWJQ4SUiIlHT0NCA9bbxC9njP/C8JL7MzEzqw12bKbeh5X1ZWVnRjJQwYl54GWO8xphPjDGvtWwPM8Z8aIxZb4x5wRjTvVnYeqgLL7zwkO3Jkyc7lEREpGMikQj19fVtFl6t+2pqauIdS2IgLS2N+lDX7lBtLbxSU1OjGSlhxKPHawaw5qDth4BHrbUjgX3A9+KQIeHccMMNh2xff/31DiUREemYmpoaIuEw1nfkL9TWfZWVlfGOJTFgjGlzLfSOaJ1RJFmnSYrpZ22MGQT8M/A/LdsGuAD4e8tLZgOXxzJDImtdUFYLy4pIIti1axcANiXjiOciLftaXyOJrb352joiWe9wjXW5+Rvgp0DrVzcPqLTWtt7Wsg0Y2NYbjTHXG2OKjTHFFRUVMY7pPrNnzz4wv4nX6+VPf/qTw4lEpKOStf0qKysDIBI4cuyOTckEYw68RhJbfX09qb6uVV6pvuYur2Qd7xezwssYcwmwy1q77ODdbby0zc5Ka+1T1tqJ1tqJyTiVwvz58w/cdh0KhZg3b57DiUSko5K1/dq4cSMYQyQ158gnPR5Iy2l+jSS8mpoa0rxdu9bY+r5kHe8Xyx6vM4FLjTGbgedpvsT4GyDHGNO6zsAgQPMktGHy5MmHXGqcMmWKw4lERI6tpKQE0nLA2/ZSMk2puaxes1bLBvUAe/bsJsfftTnZUryQ4Tfs2bMnyqkSQ8wKL2vtz6y1g6y1Q4FvAQuttd8BFgH/2vKyq4GXY5UhkV166aUHGidrLV//+tcdTiQicnThcJhPP11JY8bRJ8UMZ/Wlct9eXW7sAXaUl5MbCHf5/bmpYXbs2BHFRInDiVsKbgV+ZIwppXnM19MOZHC9V1555ZDtV1991aEkIiLtW7t2LfX1dYSzjr7ocajluWXLlh31NeJ+wWCQnbsq6J/R9cKrX2oTWzdvimKqxBGXwstau9hae0nL443W2lOttUXW2m9aa4PxyJBoDh/TNXfuXIeSiIi074MPPgBjCPVq834pAGxqNqRm895778UxmUTbpk2bsNYysBuF16DMMNt37KSuri6KyRJDck6ikQDy8vKOuS0i4hbWWhYuWkQ4qx/4Akd/oTE09ipk2bJlVFdXxy+gRNXq1asBGJ7d9XU3h2eFsNY2jwtMMiq8XEprNYpIoigtLWV7WRlNvYe1+9qm3GGEw2GWLFkSh2QSCytXrqR3KuQFuj4P14heIQzw2WefRS9YglDh5VKHTyyXrBPNiYj7zZ07FzwemnKHtvvaSEY+pGXz1ltvxT6YRF0kEuGT5csYlxOkO3N7Z/othVkRios/jl64BNH2Pb/SrlmzZlFaWhrXc86YMSNmxy4qKuLmm2+O2fFFpGcKhUK8NXceTdmD4bClggJblwIQLJz05U5jCOYW8emnyykvL6d//6MPxhf3WbNmDfurqjlhUGO3j3VCbpA3Vq2iuro6qRbMVo+XS6WkpBxzW0TEDZYuXUrV/kqaCkYe8Zynbi+eur1H7G/KKwLgzTffjHk+ia53330Xr4ET85q6fayT8xsJhyPNN2YkEfV4dVGse4dKS0uZPn36ge3f/va3FBUVxfScIiKdNWfOHEhJJ9xrUIffYwOZhLMHMOf117nqqqsOLI8m7haJRFgwfx7H5TaR4e/+JLjDskPkpcGC+fO56KKLopAwMajHy6WKiooO9HINHjxYRZeIuM6ePXv48MMPCeaOANO5XyeN+aPYXVHB8uXLY5ROom3lypXsqtjNGX2js8aix8Dpfer5uLg4qWaxV+HlYkOGDMHj8XDnnXc6HUVE5Ahz584lEonQlD+q0+8N9S7E+AO88cYbMUgmsfDaa6+R5oeTC7o/vqvVWf0aiEQiSXXZWYWXi6Wnp3PCCSeot0tEXMday+uvv0Ekqw82rVfnD+DxEew9nHfeWaI5vRJAZWUlby9exJl96wlE8crwgIwIY3uHePWVlwmHuz4hayJR4SUiIp1WUlLCF19spTHvyEH1HdWUP5JQqInFixdHL5jExMsvv0xTKMyFA6O/2MzkgfXs2LkraVY0UOElIiKd9tZbb2E83g5Nmno0kfQ8bHpv3ngjeS4zJaJgMMj/vfQiJ+Y1dWuZoKM5uaCRgnTL888/h7XdH7Tvdiq8RESkU0KhEPMXLKCx12DwdWOqG2NozB3O6tWrKC8vj15Aiao5c+ZQub+Kfy6MzbqKHgP/NKiW1avXsGLFipicw02OWXgZYybGK4iIiJupPfxScXEx1VVVB+bj6o6m3BEAzJ8/v9vHkugLBoM897e/MjonxJjeXV+bsT3n9A+SE4DZzz4bs3O4RXs9Xn8wxqw3xtxjjBkXl0QiIu6k9rDFggULMP4A4V4Du30sG8gkktWXeSq8XOnVV1+lYvcerhhaG9PzpHjhksJaVnz6KcuWLYvpuZx2zMLLWjsBuAQIA383xqwwxtxqjBkSl3QiIi6h9rBZQ0MD7yxZQrDXEPBE5/a2xtzhbN2yhQ0bNkTleBIdtbW1/OVPsxnXO8S43I71dv1lXTpbqr1sqfZy//Js/rIuvcPnO39gA3lp8NRTT/bo9YnbnbneWlsC3A3cbYw5EfgWsNAYs8Nae2asA4p0lBPrZ8ZK6+cRy/U546mnrAWq9rB5iaBgQwOhIcOjdsxQ76GwdSkLFy5kxIgRUTuudM9zzz1HZVU1P5hY0+H3bK3xUR9u7tNZW9m5YeR+D3xjaA1/WLOORYsWceGFF3bq/Ymiw0sGGWM8QB+gL5ABVMQqlEhXlJaWsn7VJxRmJv5cMClNzQ1WcEuxw0m6b2tNz1sOJpnbw4ULF2JS0ghn9YvaMa0/jXBWf+YvWMD06dMxxkTt2NI1O3bs4H9feIFJfYMMz45fm3pmvyBzt6Xz1JO/56yzziIQCMTt3PHSbuFljDkb+DZwOfA58DzwQ2vt/hhnE+m0wswwt59U5XQMOcj9y7OdjhA1yd4e1tXV8cEHHxDsXdTpJYLa05Q7nJ2b36WkpIQxY8ZE9djSeb/73e8g0sS/jYjNnYxH4zEwtaiaBz7x8Pzzz3P11VfH9fzx0N5djV8ADwJrgAnW2oustc8kSyMjItJK7SG8//77NDU1Ecrt+txdR9PUewh4PCxatCjqx5bOWbZsGW+//TaXFNaRnxr/sVZje4c4tU+Qv/7lLz1ympH2/mQ5y1p7prV2lrV2Z1wSiYi4U9K3h4sWLYJABuHMvtE/uC9AKGsACxYuTIpJNN2qsbGRR3/9K/qkW75WWO9YjqlFdRjbxGMzZ/a4n4f27mrcYoy52hiz3BhT2/Kv2BhzVbwCioi4QbK3hzU1NSz98EMac4ZCjMZgNeUOY3dFBatXr47J8aV9zz33HNvKtnPVyGpSHByemZsa4RtDa/lg6VKWLFniXJAYaO9S41XAD4D/BAYAA4GfAjOSpbEREQG1h++99x7hUIimGFxmbBXKaZ6iYuHChTE7hxzdli1b+Muf/8SkPkG+ktfkdBwuGtTAkKwIMx/9NTU1Hb+z0u3au9T4H8AV1tpF1tr91tpKa+1C4F9anhMRSRZJ3R4uWLAAUrOIZBTE7iS+FJqyB7Jg4SLC4cS/OzmRRCIRfvnwQ6SYMN8ZFdvJUjvK64FrR1ext7KyebB/D9Fe4ZVtrd18+M6Wfce8VckYk2qM+cgY86kxZpUx5u6W/cOMMR+2zAD9gjGmGwt9iYjETZfbw0S3b98+iouLCcbwMmOrUO5wKvft5dNPP43peeRQ//jHP/h81Wq+U1RNrxT3jKkanh3mnwbXM2fOnB4zo317hdexRta1N+ouCFxgrT0RGA981RgzCXgIeNRaOxLYB3yvo2FFRBzUnfYwoS1cuJBIJEIoCmsztifUuxDjS2Hu3LkxP5c0Kysr48knf89X8po4s1+j03GO8I1hdfTLsPzy4Yeoq4vv9Bax0F7hNdYYs7KNf58Bx5xoxTZrvSjrb/lngQuAv7fsn03zfDgiIm7X5fYwkVlrefW1OdiMfCLpvWN/Qo+PYM5QFi1aTG2tOy559WSRSISHHnoQb6SJ746uiXWHZpekeGH66Cp27tzF73//e6fjdFt7E6iO7c7BjTFeYBlQBDwBbAAqrbWtiz5to3mAalvvvR64HqCwsLA7MUREoqHD7WFPar9Wr17N5k0bCQ45I27nbCoYTXD3OubNm8fll+tv81h66aWXWLnyM6aPqSHXgTm7OmpUToiLB9fzyiuvcM455zBx4kSnI3VZez1eadbaLdbaLcCO1sct2/3bO7i1NmytHQ8MAk6l7YarzYvJ1tqnrLUTrbUTCwpiOJhTRKRjOtwe9qT267nnnsP4AzTlxW8NxUhGPpHMAp57/nlCoY4tziydt3XrVp568knG5zdydv+g03Ha9a/D6xiQYXnowQcS+i7H9gqvvx30+IPDnvttR09ira0EFgOTgBxjTGtP2yBge0ePIyLioKi0h4lk/fr1vPveezTkjwGvP34nNoZgvxPYuWMH8+fPj995k0goFOKB++/Dj3svMR4uxQvXja1i9549PP74407H6bL2Ci9zlMdtbR/6pDEFxpiclsdpwGSal9pYBPxry8uuBl7ucFoREed0uT1MRNZaHps1C+ML0Njv+LifP5QzhEhmAb9/8qkeMaDabV544QXWrC3h6lHV5ATccxdje0Zkh/h6YR1vvvkm7733ntNxuqS9wsse5XFb24frDywyxqwEPgbmWWtfA24FfmSMKQXygKc7kVdExCndaQ8Tzssvv8xnK1dSP+Ak8AXiH8AY6gefRuW+vTzxxBPxP38PtmHDBv74zDOc2ifIpL7uu4uxPZcPq6cwK8Ijv3yY/fsTb6nU9gbXDzLGPEbzX3Otj2nZbnNQfCtr7UpgQhv7N9I83ktEJJF0uT1MNOvXr+fxx58g1GsQTQWjHcsRyexDsP9XmDNnDhMmTGDy5MmOZekpmpqaeOD++0j3hbnaJROldpbPA9ePreLOYg+PPvood911l9OROqW9wusnBz0uPuy5w7dFRHqypGgPt23bxo9/8hNC3hQahp0d8wlT29M48CT8NTt54MEHycnJSei72dzgr3/9K6UbNjLjhCqyXDRRamcVZoa5Ymgdf1+8mMWLF3Peeec5HanDjll4WWtnxyuIiIibJUN7uHXrVn70n/9JVW0DtaO/hvWnOR0JjIfaoslklrzB7bffwf3336fiq4s2bNjAn//8J07vG+TkAufXYuyurxXWU7w7ld/8+leMHz+enJwcpyN1yDELL2PMK8d63lp7aXTjiIi4U09vD5ctW8bPf/EL6psi1Iy8mEiai36J+QLUjroY1r3FT3/6U2bMmMFll13mdKqEEg6HefihB8nwRZiWoJcYD+fzwPQxVdz5sYff/va33H777U5H6pD2LjWeDnwBPAd8SA+8c0dEpIN6ZHsYDod5/vnnefrppwmn9qJ2zGRsIMvpWEew/jRqxnyNtA2LefTRRykpKeGmm24iPT3d6WgJ4aWXXqJk3Xr+47hqsvyJe4nxcIWZYf55SB2vzJ3LlClTOOWUU5yO1K727mrsB9wOHA/MBKYAu621b1tr3451OBERF+lx7WFZWRk333wLf/jDHwj2KqRmzD+7sug6wJtC/cjJBPt/hddff51rrv0uK1eudDqV61VUVPDM0//DiXlNnNYn8e5ibM+lQ+rpl2H5zaO/Jhh0/0Swxyy8Wmaef9NaezXNk5+WAouNMTfHJZ2IiEv0pPYwGAwye/ZsrrnmGtasK6V++Lk0jDgfvClOR2uf8dA4aCJ1Y77Grv113DJjBr/85S+prKx0Oplr/e53vyXUFOTKUYkxUWpnpXjhqpHVlG0v54UXXnA6Trva6/HCGBMwxnwD+AtwI/AY8HMHTygAACAASURBVFKsg4mIuE2it4fWWpYsWcJVV13NH//4R+oyB1J93OWE8kY4fvdiZ4Wz+lE97jIa+4xjzutvMPU73+Gll17SEkOHWbVqFQsXLuKfB9fRJ829azF21/G5TUwsCPK3v/6FPXv2OB3nmI5ZeBljZgPvAycBd1trT7HW3mutLYtLOhERl0j09nDlypXceONN/PznP2dHdZC60V+loegCbEqG09G6zusnWHgatcddRrW3F4899hhXXnUVCxcuJBLpuUVGR1lreeKJx+mdCv88pN7pODH37yPqCDU18swzzzgd5ZjaG1x/JVALjAJuMV/+RWQAa63NjmE2ERE3Scj2cN26dTz99DN8+OFSTCCDhiFn0JQ/CjztXvBIGJG03tSNuhjv/i/YXrace+65h7/97TmmT/8ep512GibBevOi5cMPP2T16jVcO7qGgNfpNLHXNz3CBQPqeeONN5g6dSoDB7pzXuP25vHqOf8zRUS6IdHaw3Xr1vHss8/y/vvvY3wBgoMm0thnHHjb+3s7OgJbl+Kta77kk7b2dSLpuQQLJ8XuhMYQzimkptcgfHs2UrrtE2677TZGjx7Dd797LaeeempSFWDWWv74x2coSLec3d/9A86j5ZIh9SwuT+fPf/4zt912m9Nx2hSf/4FxNmvWLEpLS52O0W2tn8OMGTMcThIdRUVF3Hxzwo1DFkkoJSUlzJ49+8uCa+BJzQWXL74D5z11ezHh5kk6fdU7iNvIK+MhlF9Ede4w/HtKKdmykltvvZXRo8dwzTVXM2nSpKQowD777DNKStZxzehafAn1J0P35AQs5/SrZ8H8eVx33XXk5eU5HekIPbLwKi0tZcXnawin5zodpVs8jc1zrSzbuNPhJN3nrdvrdASRHm3t2rX88Y/PNl9S9DtXcLmGx0tTwWia8ooOFGA/+9nPGDlqFNdecw2nn356jy7AXnzxRTJT4Mx+ydPb1eqiwfUsKEvl1Vdf5ZprrnE6zhF6ZOEFEE7PpX7M15yOIS3S1r7udASRHmn9+vU8/fTTLF26FONPbS64+o5LjKkh4uFAATYS355S1m9dye23387IkSOZPn16j7wEWV1dzfvvvcv5/eqTYmzX4fqlRxjbu4m5b73J1Vdf7brvb48tvEREerItW7bwzDPP8Pbbb7dcUjy5peDyOx3NnTweQgWjqM4rwrd3A+u/WMGtt97Kcccfz3XTpzN+/HinE0bNO++8Q1MonJS9Xa3O7BfkD2t2sGbNGsaNG+d0nEOo8BIRSSBVVVU8++yz/OMf/8AaL8EB42nsexz4Ak5HSwweD6H8kVTnDse/ex2r16/kBz/4AWeddRb/8R//wYABA5xO2G0ffvghuakwNCvsdBTHTMhvxJjmr4UKL5EYKSsro7bay/3LXXlXf9LaUu0loywhprpytUgkwquvvspTf/gfamtraMwfTePACVh/mtPREpPHS1OfsTTljyRlxyre++BDPli6lH//t3/jqquuIjU11emEXWKtZfmyYk7q3eDInLj1IUNqaiqXXHIJr732GvUOTWib6bcMzw6zrLiYa6+91pEMR6PCS0TE5Xbs2MGDDz7IihUrCGf3p2HchUQS/OYh1/D4aBxwIk35IwlsK+Zvf/sbb7/zDv91xx2MHTvW6XSdtmPHDmpq6xg+yJmCpy5kuOSSS7jpppuw1vLOnP91JAfAsKxG3i0tJRKJ4HHRvHUqvKTHGDhwIMFQObefVOV0FDnI/cuzCbh0IsNEsHjxYh566GEaGptoGHoWTfkjE255n0RgU9JpGH4OTflFlG1+lxtvvJFrr72WadOmuW5w9rFs3rwZgMGZzlxmTPdZXnvtNay1zJkzh74+60gOgMEZYRq2Bdm5cyf9+/d3LMfh3FMCiojIIV588UXuuusuar2ZVB93OU0Fo1R0xVg4ewDV4y4jmDOUp59+mkceeSSh1n/cu7d56p7eKc4smZTmszQ0NPDiiy/S0NBAmoOFV+9A89dg3759jmVoi3q8RERc6IUXXuB3v/sdod6F1A8/DzxqruPGF6Bh+LlEApnMmTOHYDDIHXfckRA9X9XV1QBk+LVWZYa/uehr/Zq4hXq8RERcZs2aNTz55FM09R5C/YgLVHQ5wRgaB00kOGAC8+fP580333Q6UYd8OZbJ/UVivLhpfBeo8BIRcZ1HHvkVEX8aDUPPAqNm2kmNA04knN2f38ycSV1dndNx2hUINE8rEkzemSQOCIabi8/Wr4lb6M8o6VG21vSM6SR21jX/su2bnviXC7bWeBnpdIgEUl5ezoYNpTQMPlVzc7mB8RDsPx5vyRssW7aMs88+2+lEx9SnTx8A9jR4yQkkzti0WNjT0NyOtn5N3CJmhZcxZjDwJ6AfEAGestbONMbkAi8AQ4HNwL9Za6M68q2srAxv3X4tU+Mi3ro9lJXFthEoKiqK6fHjqbFlgfTAkMT/nEbSs743sbZ69WoAwtnuuQurS8KNh8znVBNudDpRl4Uz+4LxsGrVKtcXXgNb7iAuq/UyoldyF15ltV78fh/5+flORzlELHu8QsB/WmuXG2OygGXGmHnANcACa+2DxpjbgNuAW2OYQ5LEzTff7HSEqJkxYwYAM2fOdDiJxFtWVhYAJtzkcJLuMaFGLrn0y/mc/vfVt5yO1HU2DDZy4HvjZoMGDSIrI531+xs4Z0DyLhkEsL4qhTGjx+DzueviXszSWGvLgfKWx9XGmDXAQOAy4LyWl80GFhPlwmvgwIHsCPq0SLaLpK19nYED+zodQ8T1CgsLwRi8+7cRzurndJwus76UQ+Zzsr50pyN1mW9/88oLQ4cOdTZIB3g8Hk6cMIHPit8jYmvxxHmMfWFmiC3VzStzD8kKU5jpTK9bdaNhU5WXqS5cgzMuozaNMUOBCcCHQN+Woqy1OGvz4qsx5npjTLExpriioiIeMUVEoqI77Ve/fv045+xzSK1Yi2mqj1HCOPCmHDKfE94UpxN1TSRC6o5P6T9gIJMmTXI6TYecc8657G2ADVXx7+mZNqqOIVlhhmSFuf2kKqaNcuaGhOKKFCIWzj33XEfOfywxL7yMMZnAi8APrLUdnlLcWvuUtXaitXZiQUFB7AKKiERZd9uva6+9Bi+WtI2LIZL4N1gkssAXH2Fq93DD9dfh9XqdjtMhZ555JoFACm9vT96bM94uT6Nw8CBXji+NaeFljPHTXHT91Vr7UsvuncaY/i3P9wd2xTKDiEiiGTZsGD/96U/wVpWTuuU9sCq+nODfsYqUXav55je/yXnnned0nA7LyMjg4ou/ygc7U6lqTL75vEr3+9hY5eWKb/yLKye9jVnhZZo/26eBNdbaXx/01CvA1S2PrwZejlUGEZFEddFFF3HNNdfg372e1A1vQ0QTM8WNtaSUfULqFx9y9tlnc8MNNzidqNP+5V/+hZCFOVvTnI4Sd//YnE5WZgYXX3yx01HaFMserzOBK4ELjDErWv59DXgQmGKMWQ9MadkWEZHDXHPNNXz/+9/Hv28T6evmYpoanI7U80XCBDa/R2D7J1x00UXceeedrrsrriOGDBnClCkXMb8sjb0NyTMJ79p9Plbu8fOdaVeSnu7OGzpieVfjuxx9zYILY3VeEZGe5Fvf+ha5ubk8/PAv8a59ldoRFxBJz3M6Vo9kmupI37AQT/Uupk2bxne/+13XLTfTGddeey2LFy3ib6Xp3HR8jdNxYi4cgT+vz6IgP48rrrjC6ThHlbg/USIiSeKiiy7i8cdnkZuRQuaaOfgq1oG1TsfqUbxV5WStfoXU4H7uvPNOpk+fntBFF0D//v2ZduWVfLQrwMo9fqfjxNzcbal8UePhlhk/cN0yQQdL7J8qEZEkMWbMGP7nD39g/IlfIW3zu6RuWgIJPsmqK1hLyvYVpK97kwF9cvn973/H+eef73SqqPnWt75F4eBBPFOSTV3IfQPNo6W81sPfN2Vwxumnc9ZZZzkd55hUeImIJIjc3FweeeSXXH311fj3biBzzat46qO64lpSMU31pK97i0DZci684AL+8NRTDB8+3OlYUZWSksLPbr+DykYPf16X4XScmAhF4Mk12aSmZfCfP/6xK+9kPJgKLxGRBOL1ern22mv51SOP0CsFMte8im/3eqdjJRxv9Q6yVr9MoK6CH//4x/zXf/2Xawdjd9fYsWO58soreW9HgPfKE3Qi22N4cWM6G6u8/OePf0JenvvHPyberRod5K3bm/CLZHsamuebjaRmO5yk+7x1ewEtGSQSLSeffDJ/fOZp7rnnHj79dAmNNRUEC08DT2JM8ukYa/HvXE3qto/o178/995zjysn2Yy2K6+8kk8+Wc6zqz9naPY+Bmb0jOlJVuz2M2drGl//+tcTZq61Hll49ZT/RKWl1QAUDe8JBUvfHvN9EXGLvLw8fvWrX/H000/z3HPP4avfS13RBVh/z+y56bZIiNRN7+Lfu5EzzzyTn/3sZ2RmZjqdKi58Ph8///kvuG7695j5eYS7Tt5Hui+xb9DYWefh92uyKRoxnJtuusnpOB3WIwuvm2++2ekIUTFjxgwAZs6c6XASEXErn8/HDTfcwJgxY7jvvvvxrHmN2hEXEslw/yWXeDKNdaRvWICndjfTp0/nO9/5juvHAkVbQUEBd99zLz/84Q95cnUmM06ojvsi2tFSH4KZn/fCG8jg3v++z9V3MR5OY7xERHqAc889lyeeeJy8zFQyS17Hu3+bo3ki6blYrx/r9RPK6kckPdexLJ76SjLXvkZaUzX33nMP06ZNS7qiq9WJJ57ITTfdxCe7U3hxY2LOah+x8OTqLLbX+bjzrrvp37+/05E6RYWXiEgPMXLkSJ566kmGDS0kff18fLtLHcsSLJxEOD2PcHoe9WO+RrBwkiM5PDW7yCx5nV5pPmbNeoyzzz7bkRxucsUVV3DJJZfw6pZ03tuReIPt/74xneW7U7jpppuYOHGi03E6TYWXiEgPkpeXx6zHHmP8+BNJ2/QO/l1rnY7kGG9VOZnr3qJvfm9+99vfMmrUKKcjuYIxhhkzZjBh/Ik8vTaLksrEGXX09vYAr21J49JLL3X17PTHosJLRKSHycjI4KEHH2TSpEmkbnkf/85VTkeKO+/+MjLWz2PQwAE88fjjDBgwwOlIruL3+7nn3v+mX/8BzPy8Fzvq3F8OrN7r49mSTCaefBK33HJLwl4udv9XWkREOi0QCHDvvfdy9tlnk7r1Q/w7VzsdKW68+8vIKF3A0KGFzHpsZkLM7eSErKwsHnzoYbypWfz6sxyqm9xbyJTVenlsVS8GFxZy5113J+TC5a1UeImI9FB+v58777yTs846i9StS/HvWuN0pJjzVpWTUbqAIYWDefTXvyYnJ8fpSK42aNAg7rv/AfY0+pn5WTaNLpzea3+j4dcre5Ga2YsHH3qYrKwspyN1iwovEZEezOfzceedd3LGGWeQuuUD/BUlTkeKGW/1DjJK5zN48EB+85tHVXR10PHHH8/tt9/Bukof/7M2k4iLpvcKhuHRlb2oigS4/4GH6Nevn9ORuk2Fl4hID+f3+7nrrrs45dRTSd38Xo9cYshTs4uM9fMYOKAfv3lURVdnnX/++Vx33XUs3RngpU3umGaiddqITdVefv7zXzBmzBinI0VF4l4kFXHIrFmzKC2N7W36rcdvnUQ3VoqKinrMhMNybCkpKfz3vffys9tvZ/myJdRjCOX3jNUkPDW7yFw/l359+/CbRx8lN9e5OcMS2dSpU9m2bRuvvPEG/dLCnNW/0dE8/9+GdIorUrjxxhs566yzHM0STerxEnGhtLQ00tLc8Ven9ByBQID777uP8RMmkLZ5iaPzfEVLa9HVtyCPx2b+hvz8fKcjJSxjDD/60Y+YMH48z5RksX5/1/pmCjNDFGaGupVlSXmAOVubp43413/9124dy23U4yXSSeohkkSWmprKgw88wK233canny6hHhK256u16OqTn8tjM2dSUFDgdKSE5/f7ufuee/h/37+BmZ/DXSftIz8t0qljTBtV160M6yp9/LEkk5NOmpDQ00YcjXq8RESSTGpqKg89+CATxk8gbdM7+CrWOR2p07zVO5onRy1onjC2T58+TkfqMbKzs3ngwYcIe9OY+XkvgnG803Fvg4fHVvWib7/+3H33PQk9bcTRqPASEUlCqampPPjgA0w85RTSNr+bUFNNeKvKyVg/jwH9+/L4rFkqumKgsLCQn//iTrbWeHhmbSY2Dnc6Nobhsc+zCXlSuf+BBxN+2oijUeElIpKkAoEA9/33f3P66ac3TzWxw/0z3Hv3byNj/TwGDxrArMce05iuGJo0aRLf+950PtgZYH5ZaszP99f1GWys8vKz2+9gyJAhMT+fU1R4iYgksUAgwD333MM555xD6hcfklK+0ulIR+Wt3Ep66QKGDRvCYzNn6u7FOJg6dSqnT5rE30oz2NDFwfYd8V55Cou2pzJ16tQev5C5Ci8RkSTn9/v5xS9+wfnnX0BgWzEp21c4HekIvn1bSN+wkJFFIzRPVxx5PB5+dvvt5OcX8NvV2dSFoj/QvbzOw7Prs/jKV07gu9/9btSP7zYxK7yMMc8YY3YZYz4/aF+uMWaeMWZ9y8fesTq/iIh0nM/n4447bmfKlCkEypa7qvjy7dtC2oZFjB41il//6ldkZ2c7HSmpZGdn8/Nf3MmeoJdnSzKieuxQBH6/OpuU1Az+679+3iMH0x8ulj1ezwJfPWzfbcACa+1IYEHLtoiIuIDP5+O22277svhywWVHb+UXpG1cxOjRzUVXTx1w7XbHH38811xzDUt3BvhwZ0rUjvvy5jQ2VXn56a23Jc1NEjErvKy17wB7D9t9GTC75fFs4PJYnV9ERDrP6/Vy2223Hbjs6OTdjt6qcjI2LKRoxAge+eUvyciIbm+LdM7UqVMZPXoUs9dnsb+x+5ccN1V5eXVLOlOmTOnx47oOFu8xXn2tteUALR+PWt4aY643xhQbY4orKiriFlBEpLsSvf3yer3cccftB+529O3ZGPcMntrdZGxYwKBBA/nVI4+op8sFfD4ft99+B8GIl7+t714RHI7AMyXZ5OTkcMstt0QpYWJw7eB6a+1T1tqJ1tqJmo1YRBJJT2i/fD4fd911F8efcAJpm5fgrd4Rt3ObYA2ZpfPJ692LX//qV/Tq1Stu55ZjGzJkCFO/M40Pdgb4fK+/y8eZV5bKlmoPt8z4QdIV1fEuvHYaY/oDtHzcFefzi4hIB7Wu7ThwQH8yNizANOyP/UnDjWSUziPVB798+GEtA+RCU6dOZUD/fvxlfRbhzq0mBEBVo+H/NmdwyikTOffcc6Mf0OXiXXi9Alzd8vhq4OU4n19ERDohOzubXz78MJlpATJLF0CoMXYns5a0jW/jbdjPf997L8OGDYvduaTLAoEA/+8/bmR7rWHR9kCn3//SpnSCYQ833XRzj1uHsSNiOZ3Ec8AHwGhjzDZjzPeAB4Epxpj1wJSWbRERcbEBAwZwz9134wlWkbbpHWK1fkzK9k/wVX7BTTfdxMknnxyTc0h0nHXWWYw/8URe3pLZqbUcd9Z5eHt7KpdeemmPnp3+WGJ5V+O3rbX9rbV+a+0ga+3T1to91toLrbUjWz4eftejiIi40IQJE7jxxhvxVW4lZcdnUT++d/82AttXcPHFF3PFFVdE/fgSXcYYpl93HfuDMG9bx5cT+sfmdHx+P1deeWUM07mbawfXi4iIu3zjG9/g3HPPJVC2DE9N9IbomsY6Mja9w9Chw/jhD3+YlJefEtHxxx/PKadM5K1tGTR2oNerot7DBzsDXHb5FeTl5cU+oEup8BIRkQ4xxvCTn/yEPn36krHp7eiM97KWtE3v4DMR7r77LlJTY78Ys0TP1KnfYX8Q3tvR/livN79IxePx8s1vfjMOydxLhZeIiHRYZmYmd/7i53gaa0ndurTbx/PvXI23aju33Hxz0o75SWTjx4+nqGgE88rSjzn0rz4E7+5I4/wLLkj6O1VVeImISKccd9xxTJs2Df+eUnz7Nnf5OJ76StLKljFp0iQuueSS6AWUuDHGcMUV32BbjYd1+4++zuIHOwPUh9D4PVR4iYhIF1x11VWMGFFE+talEAp2/gA2Qtrmd0lPT+MnP/mJxnUlsAsuuIDUQIB3y49+uXHJjjSGDR3C2LFj45jMnVR4iYhIp/l8Pn72s9swoSCpWz/s9Pv9O9fgqdnFD2bcktQDrXuCtLQ0zj3vPD7anUpTGxOq7qzzsGG/l4u/+k8qsFHhJSIiXVRUVMTUqd/Gv6cUb9X2Dr/PBGtI276cU087jcmTJ8cwocTLBRdcQH0TrG5jGaHiihQAzj///HjHciUVXiIi0mVXXnklffv1b77kGOnYTJqBLz7C5zX88Ac/UA9IDzFhwgTS01IPFFkHW7Y7lVEji+jbt68DydxHhZeIiHRZIBDghz+YAfWV+Hetaff13qrt+Pdt5spp0+jfv38cEko8pKSkcPLEU/i8MvWQuxtrmgwbqrycfsaZzoVzmaPfgiDHNGvWLEpLS2N6jtbjz5gxI6bngeZLBjfffHPMzyMiPc+kSZM49dRT+Xj5Cpryi8B3lLm4rCVt28f06dOXf//3f49vSIm5U089lSVLllBe52FARvNgr9X7/FgLp5xyisPp3EM9Xi6WlpZGWlqa0zFERNr1/e9/HxtuIlD+5XJCkfRcIum5B7Z9ezdiavdw/fXXEQh0fnFlcbfx48cDUFL55TivkkofgRQ/Y8aMcSqW66jHq4vUOyQi8qXhw4czZfJk5i9cRGO/47H+NIKFk758gbWklX/K0KHDuOCCC5wLKjEzaNAgcrKzWLe/gfMHNk8xUlqVwtix4/D5VG60Uo+XiIhExbRp07CRMP6dq494zle5BeorufLKaXg8+tXTExljGDPuODbXNA+wb4rA1hovY8eNcziZu+inX0REomLIkCGccfrppO5Zd8Qdjim71tCnT1/OPfdch9JJPIwePZrttR4aw1BW6yUcgVGjRjkdy1VUeImISNRcfvnl2MZ6fPu2HNhn6vfjrSrnsssu1SWnHm7YsGFYC9vrvJTVeIHmy9DyJRVeIiISNRMnTiQvLx//3g0H9vn3bsAYw1e/+lUHk0k8DB06FIDttV6213nxej0MHDjQ2VAuo8JLRESixuPxcOGFF+CrKoNwIwCByi2ceOKJWhooCfTv3x9jDDvrveyo89K/Xz/1ch5GhZeIiETVGWecAZEIvqpyTLAG6vZx5pmaQDMZBAIB8vNy2VXvpSLoZ8DAQU5Hch0VXiIiElXHHXccgUAq3qrtB9Zw1ASayaNP377sbfCwJ+jVMkFtUOElIiJR5fc3T5jpq63AW7uL9IwMCgsLnY4lcdKnT192Bf1UBy0FBQVOx3EdFV4iIhJ1Y8eOwVO3F1/tbsaMGaO5u5JIbm4ue+qbH2tc35H0P0FERKJu2LBhYCN46vYyrOVON0kO48ePJ6dXNgX5eVoqqA261UBERKJu0KBBbT6Wnu/ss8/m7LPPdjqGaznS42WM+aoxpsQYU2qMuc2JDCIiEjsHD6rWAGuRL8W98DLGeIEngH8CxgHfNsZoIScRkR4kJyfnwGON8xH5khM9XqcCpdbajdbaRuB54DIHcoiISIwcPGnmwUWYSLJzovAaCHxx0Pa2ln2HMMZcb4wpNsYUV1RUxC2ciEh3qf06VGZmptMRRFzDicLLtLHPHrHD2qestROttRM1D4iIJBK1X82GtSyOnJaW5nASEfdw4q7GbcDgg7YHAdsdyCEiIjH0xOOP09jYqDm8RA7ixP+Gj4GRxphhxpgU4FvAKw7kEBGRGEpPT9f4LpHDxL3Hy1obMsbcBLwFeIFnrLWr4p1DREREJN4cmUDVWvs68LoT5xYRERFxii68i4iIiMSJCi8RERGROFHhJSIiIhInKrxERERE4kSFl4iIiEicGGuPmDTedYwxFcAWp3M4JB/Y7XQIcUQyf++HWGt7xJTvSd5+QXL/HCezZP++H7UNS4jCK5kZY4qttROdziHxp++99AT6OU5O+r4fnS41ioiIiMSJCi8RERGROFHh5X5POR1AHKPvvfQE+jlOTvq+H4XGeImIiIjEiXq8REREROJEhZeIiIhInKjwcjFjzFeNMSXGmFJjzG1O55H4MMY8Y4zZZYz53OksIl2l9is5qf1qnwovlzLGeIEngH8CxgHfNsaMczaVxMmzwFedDiHSVWq/ktqzqP06JhVe7nUqUGqt3WitbQSeBy5zOJPEgbX2HWCv0zlEukHtV5JS+9U+FV7uNRD44qDtbS37RETcTu2XyFGo8HIv08Y+zf0hIolA7ZfIUajwcq9twOCDtgcB2x3KIiLSGWq/RI5ChZd7fQyMNMYMM8akAN8CXnE4k4hIR6j9EjkKFV4uZa0NATcBbwFrgP+11q5yNpXEgzHmOeADYLQxZpsx5ntOZxLpDLVfyUvtV/u0ZJCIiIhInKjHS0RERCROVHiJiIiIxIkKLxEREZE4UeElIiIiEicqvERERETiRIWXxI0xpp8x5nljzAZjzGpjzOvGmFGHr2JvjLnLGPPjg7Z9xpjdxpgHDnvdJcaYT4wxn7Yc74Z4fS4iknzUhkk0+JwOIMnBGGOA/wNmW2u/1bJvPNC3A2+/CCgB/s0Yc7u11hpj/MBTwKnW2m3GmAAwNDbpRSTZqQ2TaFGPl8TL+UCTtfb3rTustSs4dCHdo/k2MBPYCkxq2ZdF8x8Oe1qOFbTWlkQ1sYjIl9SGSVSox0vi5Xhg2VGeG2GMWXHQdj/gEQBjTBpwIXADkENzA/aBtXavMeYVYIsxZgHwGvCctTYSq09ARJKa2jCJCvV4iRtssNaOb/0H/P6g5y4BFllr64AXgSuMMV4Aa+10mhu0j4AfA8/EObeICKgNk05Q4SXxsgo4uQvv+zYw2Rizmea/NvNo7vIHHCSc7gAAAMtJREFUwFr7mbX2UWAK8C9RyCki0ha1YRIVKrwkXhYCAWPMda07jDGnAEOO9gZjTDZwFlBorR1qrR0K3Ah82xiTaYw576CXjwe2xCK4iAhqwyRKVHhJXNjm1divAKa03Iq9CrgL2H6Mt30DWGitDR6072XgUsAL/NQYU9IytuJu4JpYZBcRURsm0WKaf5ZEREREJNbU4yUiIiISJyq8REREROJEhZeIiIhInKjwEhEREYkTFV4iIiIicaLCS0RERCROVHiJiIiIxMn/D5OE6C7Ojr7GAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, sharey = True, figsize=(10,4))\n",
    "sns.boxplot(x=\"CHAS\",y=\"MEDV\",data=df,ax=axes[0])\n",
    "sns.violinplot(x=\"CHAS\",y=\"MEDV\",data=df, ax=axes[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "特征工程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "y=df[\"MEDV\"]\n",
    "X=df.drop(\"MEDV\", axis=1)\n",
    "\n",
    "log_y = np.log1p(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "X[\"RAD\"].astype(\"object\")\n",
    "x_cat = X[\"RAD\"]\n",
    "x_cat = pd.get_dummies(x_cat, prefix=\"RAD\")\n",
    "\n",
    "x.drop(\"RAD\", axis =1)\n",
    "feat_names = X.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>RAD_1</th>\n",
       "      <th>RAD_2</th>\n",
       "      <th>RAD_3</th>\n",
       "      <th>RAD_4</th>\n",
       "      <th>RAD_5</th>\n",
       "      <th>RAD_6</th>\n",
       "      <th>RAD_7</th>\n",
       "      <th>RAD_8</th>\n",
       "      <th>RAD_24</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   RAD_1  RAD_2  RAD_3  RAD_4  RAD_5  RAD_6  RAD_7  RAD_8  RAD_24\n",
       "0      1      0      0      0      0      0      0      0       0\n",
       "1      0      1      0      0      0      0      0      0       0\n",
       "2      0      1      0      0      0      0      0      0       0\n",
       "3      0      0      1      0      0      0      0      0       0\n",
       "4      0      0      1      0      0      0      0      0       0"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_cat.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler,MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "ss_X=StandardScaler()\n",
    "ss_y=StandardScaler()\n",
    "#使用MinMaxScaler去量纲\n",
    "#ss_X=inMaxScaler(feature_range=(0, 1))\n",
    "#ss_y=inMaxScaler(feature_range=(0, 1)))\n",
    "\n",
    "ss_log_y=StandardScaler()\n",
    "X=ss_X.fit_transform(X)\n",
    "\n",
    "y=ss_y.fit_transform(y.values.reshape(-1,1))\n",
    "log_y=ss_log_y.fit_transform(log_y.values.reshape(-1,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "fe_data=pd.DataFrame(data=X, columns=feat_names, index=df.index)\n",
    "fe_data=pd.concat([fe_data,x_cat], axis=1, ignore_index=False)\n",
    "\n",
    "fe_data['MEDV']=y\n",
    "fe_data['log_MEDV']=log_y\n",
    "\n",
    "fe_data.to_csv('FE_boston_housing.csv', index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>...</th>\n",
       "      <th>RAD_2</th>\n",
       "      <th>RAD_3</th>\n",
       "      <th>RAD_4</th>\n",
       "      <th>RAD_5</th>\n",
       "      <th>RAD_6</th>\n",
       "      <th>RAD_7</th>\n",
       "      <th>RAD_8</th>\n",
       "      <th>RAD_24</th>\n",
       "      <th>MEDV</th>\n",
       "      <th>log_MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.419782</td>\n",
       "      <td>0.285654</td>\n",
       "      <td>-1.287909</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.144217</td>\n",
       "      <td>0.413672</td>\n",
       "      <td>-0.120013</td>\n",
       "      <td>0.140214</td>\n",
       "      <td>-0.982843</td>\n",
       "      <td>-0.666608</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.159686</td>\n",
       "      <td>0.345176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.417339</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-0.593381</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.740262</td>\n",
       "      <td>0.194274</td>\n",
       "      <td>0.367166</td>\n",
       "      <td>0.557160</td>\n",
       "      <td>-0.867883</td>\n",
       "      <td>-0.987329</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.101524</td>\n",
       "      <td>0.084104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.417342</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-0.593381</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.740262</td>\n",
       "      <td>1.282714</td>\n",
       "      <td>-0.265812</td>\n",
       "      <td>0.557160</td>\n",
       "      <td>-0.867883</td>\n",
       "      <td>-0.987329</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.324247</td>\n",
       "      <td>1.266776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.416750</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-1.306878</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.835284</td>\n",
       "      <td>1.016303</td>\n",
       "      <td>-0.809889</td>\n",
       "      <td>1.077737</td>\n",
       "      <td>-0.752922</td>\n",
       "      <td>-1.106115</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.182758</td>\n",
       "      <td>1.170822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.412482</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-1.306878</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.835284</td>\n",
       "      <td>1.228577</td>\n",
       "      <td>-0.511180</td>\n",
       "      <td>1.077737</td>\n",
       "      <td>-0.752922</td>\n",
       "      <td>-1.106115</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.487503</td>\n",
       "      <td>1.373242</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       CRIM        ZN     INDUS      CHAS       NOX        RM       AGE  \\\n",
       "0 -0.419782  0.285654 -1.287909 -0.272599 -0.144217  0.413672 -0.120013   \n",
       "1 -0.417339 -0.487292 -0.593381 -0.272599 -0.740262  0.194274  0.367166   \n",
       "2 -0.417342 -0.487292 -0.593381 -0.272599 -0.740262  1.282714 -0.265812   \n",
       "3 -0.416750 -0.487292 -1.306878 -0.272599 -0.835284  1.016303 -0.809889   \n",
       "4 -0.412482 -0.487292 -1.306878 -0.272599 -0.835284  1.228577 -0.511180   \n",
       "\n",
       "        DIS       RAD       TAX  ...  RAD_2  RAD_3  RAD_4  RAD_5  RAD_6  \\\n",
       "0  0.140214 -0.982843 -0.666608  ...      0      0      0      0      0   \n",
       "1  0.557160 -0.867883 -0.987329  ...      1      0      0      0      0   \n",
       "2  0.557160 -0.867883 -0.987329  ...      1      0      0      0      0   \n",
       "3  1.077737 -0.752922 -1.106115  ...      0      1      0      0      0   \n",
       "4  1.077737 -0.752922 -1.106115  ...      0      1      0      0      0   \n",
       "\n",
       "   RAD_7  RAD_8  RAD_24      MEDV  log_MEDV  \n",
       "0      0      0       0  0.159686  0.345176  \n",
       "1      0      0       0 -0.101524  0.084104  \n",
       "2      0      0       0  1.324247  1.266776  \n",
       "3      0      0       0  1.182758  1.170822  \n",
       "4      0      0       0  1.487503  1.373242  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fe_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 24 columns):\n",
      "CRIM        506 non-null float64\n",
      "ZN          506 non-null float64\n",
      "INDUS       506 non-null float64\n",
      "CHAS        506 non-null float64\n",
      "NOX         506 non-null float64\n",
      "RM          506 non-null float64\n",
      "AGE         506 non-null float64\n",
      "DIS         506 non-null float64\n",
      "RAD         506 non-null float64\n",
      "TAX         506 non-null float64\n",
      "PTRATIO     506 non-null float64\n",
      "B           506 non-null float64\n",
      "LSTAT       506 non-null float64\n",
      "RAD_1       506 non-null uint8\n",
      "RAD_2       506 non-null uint8\n",
      "RAD_3       506 non-null uint8\n",
      "RAD_4       506 non-null uint8\n",
      "RAD_5       506 non-null uint8\n",
      "RAD_6       506 non-null uint8\n",
      "RAD_7       506 non-null uint8\n",
      "RAD_8       506 non-null uint8\n",
      "RAD_24      506 non-null uint8\n",
      "MEDV        506 non-null float64\n",
      "log_MEDV    506 non-null float64\n",
      "dtypes: float64(15), uint8(9)\n",
      "memory usage: 63.9 KB\n"
     ]
    }
   ],
   "source": [
    "fe_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression, RidgeCV, LassoCV, ElasticNetCV\n",
    "#导入岭回归（RidgeCV）和Lasso（LassoCV）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>...</th>\n",
       "      <th>RAD_2</th>\n",
       "      <th>RAD_3</th>\n",
       "      <th>RAD_4</th>\n",
       "      <th>RAD_5</th>\n",
       "      <th>RAD_6</th>\n",
       "      <th>RAD_7</th>\n",
       "      <th>RAD_8</th>\n",
       "      <th>RAD_24</th>\n",
       "      <th>MEDV</th>\n",
       "      <th>log_MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.419782</td>\n",
       "      <td>0.285654</td>\n",
       "      <td>-1.287909</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.144217</td>\n",
       "      <td>0.413672</td>\n",
       "      <td>-0.120013</td>\n",
       "      <td>0.140214</td>\n",
       "      <td>-0.982843</td>\n",
       "      <td>-0.666608</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.159686</td>\n",
       "      <td>0.345176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.417339</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-0.593381</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.740262</td>\n",
       "      <td>0.194274</td>\n",
       "      <td>0.367166</td>\n",
       "      <td>0.557160</td>\n",
       "      <td>-0.867883</td>\n",
       "      <td>-0.987329</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>-0.101524</td>\n",
       "      <td>0.084104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.417342</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-0.593381</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.740262</td>\n",
       "      <td>1.282714</td>\n",
       "      <td>-0.265812</td>\n",
       "      <td>0.557160</td>\n",
       "      <td>-0.867883</td>\n",
       "      <td>-0.987329</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.324247</td>\n",
       "      <td>1.266776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.416750</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-1.306878</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.835284</td>\n",
       "      <td>1.016303</td>\n",
       "      <td>-0.809889</td>\n",
       "      <td>1.077737</td>\n",
       "      <td>-0.752922</td>\n",
       "      <td>-1.106115</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.182758</td>\n",
       "      <td>1.170822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.412482</td>\n",
       "      <td>-0.487292</td>\n",
       "      <td>-1.306878</td>\n",
       "      <td>-0.272599</td>\n",
       "      <td>-0.835284</td>\n",
       "      <td>1.228577</td>\n",
       "      <td>-0.511180</td>\n",
       "      <td>1.077737</td>\n",
       "      <td>-0.752922</td>\n",
       "      <td>-1.106115</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1.487503</td>\n",
       "      <td>1.373242</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       CRIM        ZN     INDUS      CHAS       NOX        RM       AGE  \\\n",
       "0 -0.419782  0.285654 -1.287909 -0.272599 -0.144217  0.413672 -0.120013   \n",
       "1 -0.417339 -0.487292 -0.593381 -0.272599 -0.740262  0.194274  0.367166   \n",
       "2 -0.417342 -0.487292 -0.593381 -0.272599 -0.740262  1.282714 -0.265812   \n",
       "3 -0.416750 -0.487292 -1.306878 -0.272599 -0.835284  1.016303 -0.809889   \n",
       "4 -0.412482 -0.487292 -1.306878 -0.272599 -0.835284  1.228577 -0.511180   \n",
       "\n",
       "        DIS       RAD       TAX  ...  RAD_2  RAD_3  RAD_4  RAD_5  RAD_6  \\\n",
       "0  0.140214 -0.982843 -0.666608  ...      0      0      0      0      0   \n",
       "1  0.557160 -0.867883 -0.987329  ...      1      0      0      0      0   \n",
       "2  0.557160 -0.867883 -0.987329  ...      1      0      0      0      0   \n",
       "3  1.077737 -0.752922 -1.106115  ...      0      1      0      0      0   \n",
       "4  1.077737 -0.752922 -1.106115  ...      0      1      0      0      0   \n",
       "\n",
       "   RAD_7  RAD_8  RAD_24      MEDV  log_MEDV  \n",
       "0      0      0       0  0.159686  0.345176  \n",
       "1      0      0       0 -0.101524  0.084104  \n",
       "2      0      0       0  1.324247  1.266776  \n",
       "3      0      0       0  1.182758  1.170822  \n",
       "4      0      0       0  1.487503  1.373242  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data= pd.read_csv('FE_boston_housing.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "y=data['MEDV']\n",
    "X=data.drop(['MEDV'], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train shape: (404, 23)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test=train_test_split(X,y,train_size=0.8, random_state=0)\n",
    "\n",
    "print(\"train shape:\", X_train.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=2, normalize=False)"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr=LinearRegression(n_jobs=2)\n",
    "\n",
    "lr.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_train_pre=lr.predict(X_train)\n",
    "y_test_pre=lr.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "rmse_train=np.sqrt(mean_squared_error(y_train,y_train_pre))\n",
    "rmse_test=np.sqrt(mean_squared_error(y_test,y_test_pre))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE on Training set: 0.21415680364340936\n",
      "RMSE on Test set: 0.24967392971429594\n"
     ]
    }
   ],
   "source": [
    "print(\"RMSE on Training set:\",rmse_train)\n",
    "print(\"RMSE on Test set:\", rmse_test)\n",
    "#已经做标准化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R2 on Training set: 0.954526938439574\n",
      "R2 on Test set: 0.935373096406719\n"
     ]
    }
   ],
   "source": [
    "r2_score_train=r2_score(y_train,y_train_pre)\n",
    "r2_score_test=r2_score(y_test,y_test_pre)\n",
    "\n",
    "print(\"R2 on Training set:\",r2_score_train)\n",
    "print(\"R2 on Test set:\", r2_score_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "L2正则"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best Alpha: 1.0\n"
     ]
    }
   ],
   "source": [
    "alphas=[0.01,0.1,1,10,100,1000]\n",
    "ridge=RidgeCV(alphas=alphas, store_cv_values=True)\n",
    "\n",
    "ridge.fit(X_train,y_train)\n",
    "\n",
    "alpha=ridge.alpha_\n",
    "print(\"Best Alpha:\", alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cv of rmse: [0.24032379 0.24027014 0.23983159 0.2420055  0.32379055 0.5661165 ]\n"
     ]
    }
   ],
   "source": [
    "mse_cv=np.mean(ridge.cv_values_, axis=0)\n",
    "rmse_cv=np.sqrt(mse_cv)\n",
    "\n",
    "print('cv of rmse:', rmse_cv)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "L1正则"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best Alpha: 0.0036697640431377436\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\programdata\\miniconda3\\lib\\site-packages\\sklearn\\model_selection\\_split.py:1978: FutureWarning: The default value of cv will change from 3 to 5 in version 0.22. Specify it explicitly to silence this warning.\n",
      "  warnings.warn(CV_WARNING, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "lasso=LassoCV()\n",
    "\n",
    "lasso.fit(X_train,y_train)\n",
    "\n",
    "alpha=lasso.alpha_\n",
    "print(\"Best Alpha:\", alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cv of rmse: 0.3104826238446987\n"
     ]
    }
   ],
   "source": [
    "mse_cv=np.mean(lasso.mse_path_, axis=0)\n",
    "rmse_cv=np.sqrt(mse_cv)\n",
    "\n",
    "print('cv of rmse:', min(rmse_cv))"
   ]
  }
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